The catalytic asymmetric thiazolium-and triazolium-catalyzed benzoin condensations of aldehydes and ketones were studied with computational methods. Transition-state geometries were optimized by using Morokuma's IMOMO [integrated MO (molecular orbital) ؉ MO method] variation of ONIOM (n-layered integrated molecular orbital method) with a combination of B3LYP͞6 -31G(d) and AM1 levels of theory, and final transition-state energies were computed with single-point B3LYP͞6 -31G(d) calculations. Correlations between experiment and theory were found, and the origins of stereoselection were identified. Thiazolium catalysts were predicted to be less selective then triazolium catalysts, a trend also found experimentally.T he use of computational theory to understand and predict the stereoselectivity of catalytic asymmetric reactions has undergone rapid development. The introduction of faster computers and improved algorithms will likely make computational techniques of even greater importance in the years to come. Recent examples of the computational elucidation of stereoselectivities include studies by our group of the enantioselective proline catalyzed aldol and Mannich reactions (1-3) and Kozlowski's (4) introduction of the functionality mapping technique, which offers promise for the design of asymmetric catalysts. We now report the modeling of stereoselective benzoin condensations catalyzed by thiazolium and triazolium salts by using quantum mechanical methods.Over the last three decades synthetic chemists have investigated the use of chiral thiazolium catalysts in the benzoin condensation (5-10). Regrettably, these catalysts have performed poorly and afforded acyloin products of only moderate optical enrichment. The highest recorded enantiomeric excess (ee) for a thiazolium-catalyzed benzoin condensation (51% ee) was reported by Sheehan et al. (10), using the chiral catalyst (S)-(Ϫ)-4-methyl-3-␣-(1-napthyl)ethylthiazolium tetrafluoroborate that afforded the product in only 6% yield. Chiral triazolium salts have fared better (5,11,12). For example, the chemically robust triazolium catalyst 1 recently prepared by Enders et al.(11) affords benzoin products in high yields with enantiomeric excesses as high as 95% (Eq. 1). To date this is the highest recorded ee for an organic catalyzed benzoin reaction.The origin of the dramatic difference in product yields and selectivities observed between thiazolium and triazolium catalysts is not readily apparent. For example, Knight et al. (6) have reported the preparation and use of the bicyclic thiazolium catalyst 2 (Fig. 1) for the condensation of benzaldehyde, isolating essentially racemic (10.5% ee) benzoin product in 20% yield.The structural similarity of thiazolium catalyst 2 relative to the triazolium catalyst 1 of Enders makes this result surprising, although the lack of a N-phenyl substituent in catalyst 2 likely has a significant effect.What is the chemical basis for this difference, and might it be possible to predict a priori what catalysts are worthy of investigation...